Search a number
-
+
142627604 = 227191272111
BaseRepresentation
bin10001000000001…
…01001100010100
3100221101020021212
420200011030110
5243003040404
622053000552
73351212630
oct1040051424
9327336255
10142627604
1173567259
123b923158
132371a342
1414d29dc0
15c7c506e
hex8805314

142627604 has 48 divisors (see below), whose sum is σ = 302776320. Its totient is φ = 57425760.

The previous prime is 142627591. The next prime is 142627631. The reversal of 142627604 is 406726241.

142627604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66509 + ... + 68619.

It is an arithmetic number, because the mean of its divisors is an integer number (6307840).

Almost surely, 2142627604 is an apocalyptic number.

142627604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142627604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151388160).

142627604 is an abundant number, since it is smaller than the sum of its proper divisors (160148716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142627604 is a wasteful number, since it uses less digits than its factorization.

142627604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 142627604 is about 11942.6799337502. The cubic root of 142627604 is about 522.4778242002.

The spelling of 142627604 in words is "one hundred forty-two million, six hundred twenty-seven thousand, six hundred four".

Divisors: 1 2 4 7 14 19 28 38 76 127 133 254 266 508 532 889 1778 2111 2413 3556 4222 4826 8444 9652 14777 16891 29554 33782 40109 59108 67564 80218 160436 268097 280763 536194 561526 1072388 1123052 1876679 3753358 5093843 7506716 10187686 20375372 35656901 71313802 142627604